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Algebraic extensions of prime algebras and algebras of quotients
1986Summary: Let F be a field, \(R\supset B\) be F-algebras such that for every element \(x\in R\) there is a polynomial f(t) with f(x)\(\in B\). The following results are proved: If R is prime and has no nonzero algebraic one-sided ideals, then B is prime with no nonzero algebraic one-sided ideals; if moreover R is noncommutative, then the algebras of ...
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A Note on Natural Extensions in Abstract Algebraic Logic
Studia Logica, 2014Petr Cintula +2 more
exaly
Torsion of algebraic groups and iterate extensions associated with Lubin–Tate formal groups
Journal of the Mathematical Society of Japan, 2023exaly
Quadratic forms under algebraic extensions
Mathematische Annalen, 1976T Y Lam, Elman Richard, Lam T Y
exaly
On extensions and bimultiplication algebras of algebras
Archiv der Mathematik, 1969Kohls, C. W., Lardy, L. J.
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